 | Euclides - 1858 - عدد الصفحات: 248
...wood engraver substituted k for x in the figures ; hence the use of k. PROP. 3. — THEOR. If a st. line be divided into any two parts, the rectangle contained by the whole line and one of the parts, is equal to the rectangle contained by the two parts together with the square... | |
 | Elias Loomis - 1858 - عدد الصفحات: 256
...equivalent to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the squares on AC CB, together with twice the rectangle contained... | |
 | Sandhurst roy. military coll - 1859 - عدد الصفحات: 672
...gallons to be sold at 10s. per gallon ; how many gallons of each sort of wine must he take. Euclid. 1. If a straight line be divided into any two parts,...the parts, is equal to the rectangle contained by the parts, together with the square of the aforesaid part. the straight line intercepted between the... | |
 | Royal college of surgeons of England - 1860 - عدد الصفحات: 332
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 7. If a straight line be divided into any two parts,...parts, together with the square of the aforesaid part. 8. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
 | Robert Potts - 1860 - عدد الصفحات: 380
...AB, BC is equal to the square on AB. If therefore a straight line, &c. QED PROPOSITION III. THEOREM. If a straight line be divided into any two parts,...parts, is equal to the rectangle contained by the two varts, together with the square on the aforesaid part, Let the straight line AS be divided into any... | |
 | Euclides - 1860 - عدد الصفحات: 288
...AC, together with the rectangle AB • BC, is equal to the square on AB. PEOPOSITION III. THEOBEM. If a straight line be divided into any two parts,...by the whole and one of the parts is equal to the square on that part, together with the rectangle contained by the two parts. Given the straight line... | |
 | War office - 1861 - عدد الصفحات: 714
...described on the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. VOLUNTARY PORTION. 2. From a given straight line to cut off any part required.... | |
 | Euclides - 1861 - عدد الصفحات: 464
...line be divided into any two pts, the I | contained by the whole and one of the pts is eq. to the I П contained by the two parts together with the square of the aforesaid part. 35, III. If two st. lines cut one another within a 0 the rect. contained by the segs. of one is eq.... | |
 | Euclides - 1862 - عدد الصفحات: 140
...the square on AB. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 3.— THEOREM. If a straight line be divided into any two parts,...by the whole and one of the parts, is equal to the square on that part, together with the rectangle contained by the two parts. (References— Prop. I.... | |
 | Euclides - 1862 - عدد الصفحات: 172
...straight line be divided into any two parts ; then the rectangle contained by the whole and one of Ihe parts is equal to the rectangle contained by the two...parts, together with the square of the aforesaid part. (References— Prop. i. 31, 46.) Let the straight line AB be divided into any two parts in the point... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
